Faster computation of adiabatic extreme mass-ratio inspirals using resonances

Motivated by the prohibitive computational cost of producing adiabatic extreme mass-ratio inspirals, we explain how a judicious use of resonant orbits can dramatically expedite both that calculation and the generation of snapshot gravitational waves from geodesic sources. In the course of our argument, we clarify the resolution of a lingering debate on the appropriate adiabatic averaging prescription in favor of torus averaging over time averaging.